chore(batcher): unify client implementations

[Itay-Tsabary-Starkware]

Stack:

• chore(mempool_types): unify client implementations #2090
• chore(mempool_p2p_types): unify client implementations #2089
• chore(gateway): unify client implementations #2088
• chore(sequencer_infra): restructure code to avoid clone trait bound #2087
• chore(batcher): unify client implementations #2086 ⬅
• chore(sequencer_infra): add component client trait for remote client #2085
• chore(sequencer_infra): add component client trait for local client #2084
• chore(sequencer_infra): local client send returns client result #2083
• chore: format request handling #2082

⚠️ Part of a stack created by spr. Do not merge manually using the UI - doing so may have unexpected results.

[reviewable-StarkWare]

This change is 

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 5.01%. Comparing base (4f8d2b3) to head (c040fb6).

Additional details and impacted files

@@                  Coverage Diff                  @@
##           spr/main/5b800b4d   #2086       +/-   ##
=====================================================
- Coverage              55.82%   5.01%   -50.81%     
=====================================================
  Files                      8     141      +133     
  Lines                    292   16814    +16522     
  Branches                 292   16814    +16522     
=====================================================
+ Hits                     163     844      +681     
- Misses                   115   15902    +15787     
- Partials                  14      68       +54     

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